Published July 21, 2000 | Version v1
Journal article Metadata-only

A 1D Ising model for ripple formation

Creators

  • 1. Laboratoire des Milieux Desordonnes et Heterogenes, Tour 13, Case 86, Paris (France)
  • 2. GRASP, Institut de Physique B5, Universite de Liege, Liege (Belgium)

Description

A 1D Ising model is shown to reproduce qualitatively the dynamics of ripple formation. The saltation effect is imposed using a Kawasaki dynamics and a pair interaction over some distance l. Within this model, the ripple state turns out to be metastable, in agreement with cellular automata simulations as well as recent underwater experiments. A dynamical phase diagram is obtained. A mean-field solution of the problem is given in terms of the ripple size. A mapping is then performed onto a 2D l x ∞ static problem. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

URL
http://www.iop.org/;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
33
Journal Issue
28
Journal Page Range
p. 4955-4962
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
India
INIS RN
32031354
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DYNAMICS; HAMILTONIANS; ISING MODEL; MAPPING; ONE-DIMENSIONAL CALCULATIONS; PHASE DIAGRAMS; RANDOMNESS; SIZE; SPACE-TIME; UNDERWATER
Descriptors DEC
CRYSTAL MODELS; DIAGRAMS; INFORMATION; LEVELS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS